Numerical Methods and Volatility Models for Valuing Cliquet Options
Authors:
H. A. Windcliff a;
P. A. Forsyth b;
K. R. Vetzal c
| Affiliations: | a Equity Trading Lab, Morgan Stanley, New York, USA |
| b School of Computer Science, University of Waterloo, Canada | |
| c Centre for Advanced Studies in Finance, University of Waterloo, Canada |
DOI:
10.1080/13504860600839964
Publication Frequency:
6 issues per year
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Abstract
Several numerical issues for valuing cliquet options using PDE methods are investigated. The use of a running sum of returns formulation is compared to an average return formulation. Methods for grid construction, interpolation of jump conditions, and application of boundary conditions are compared. The effect of various volatility modelling assumptions on the value of cliquet options is also studied. Numerical results are reported for jump diffusion models, calibrated volatility surface models, and uncertain volatility models.
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| Keywords: Cliquet options; jump diffusion; interpolation; boundary conditions; volatility models |
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